EP0296638B1 - Commande de processus utilisant une combinaison de commande à réaction positive et à contre-réaction - Google Patents

Commande de processus utilisant une combinaison de commande à réaction positive et à contre-réaction Download PDF

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EP0296638B1
EP0296638B1 EP88110222A EP88110222A EP0296638B1 EP 0296638 B1 EP0296638 B1 EP 0296638B1 EP 88110222 A EP88110222 A EP 88110222A EP 88110222 A EP88110222 A EP 88110222A EP 0296638 B1 EP0296638 B1 EP 0296638B1
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signal
mvn
δdn
difference
feedforward
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EP0296638A3 (en
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Kazuo Patent Division Hiroi
Kojiro Patent Division Ito
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Toshiba Corp
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Toshiba Corp
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    • G—PHYSICS
    • G05—CONTROLLING; REGULATING
    • G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B11/00—Automatic controllers
    • G—PHYSICS
    • G05—CONTROLLING; REGULATING
    • G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B13/00—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion
    • G05B13/02—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric
    • G05B13/0205—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric not using a model or a simulator of the controlled system
    • G—PHYSICS
    • G05—CONTROLLING; REGULATING
    • G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B13/00—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion

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  • the present invention relates to a process controller having a combination of feedback and feedforward control systems and, more particularly, to a process controller having an improved auto-tuning means for feedforward control due to a variation in load.
  • the present invention is an improvement of U.S. Patent No. 4,714,988 (Hiroi et al.) filed by the present applicant and published on December 22, 1987, and incorporates all the disclosure contents of the above Patent.
  • the European corresponding number is EP-A-0 152 871.
  • This process controller comprises feedback and feedforward control systems.
  • comparator 31 calculates deviation en in accordance with target variable SV and process variable X obtained by measuring controlled variable X.
  • Deviation en is supplied to adjusting unit 32, which performs a speed PID operation.
  • the PID output from adjusting unit 32 is then converted to position signal A by speed-position signal converter 34 through adder 33.
  • Position signal A is supplied to adder 35, in order to obtain manipulation signal M.
  • Manipulation signal M once obtained, is supplied to object 36 to be controlled, thus adjusting controlled variable X.
  • multiplier 40 derives feedforward controlled variable B from disturbance signal D. Thereafter, a variation in the control system, caused by disturbance signal D, is compensated for by static and dynamic characteristic compensation means.
  • the static characteristic compensation means comprises difference arithmetic unit 51, switch 62B, and the like.
  • Feedforward controlled variable B obtained by multiplier 40, is converted to speed signal C by difference arithmetic unit 51.
  • Speed signal C is then supplied to adder 33, through switch 62B1.
  • the dynamic characteristic compensation means comprises incomplete differentiator 42, switch 62B, and the like. Differentiator 42 derives change E in dynamic characteristics from feedforward controlled variable B, and supplies it, through switch 62B2, to adder 35.
  • the auto-tuning control means comprises subtractor 43, which derives a deviation signal, between feedforward controlled variable B and output signal A, from speed-position signal converter 34.
  • the auto-tuning control means derives control deviation signal en, static characteristic compensation signal C, and dynamic characteristic compensation signal E, and supplies these signals to corresponding signal level detectors 55 to 59.
  • Signal level detector 55 outputs an ON signal (H) when the deviation signal exceeds a predetermined range, while, in contrast, the other signal level detectors 57 to 59 output ON signals (H) when their input signals (C, E, en) fall within the predetermined range.
  • a start control signal is output from an AND circuit (60, 61), thereby starting a timer circuit (62 - 64). After a predetermined period of time has passed from the starting of the timer circuit, the timer circuit outputs a tuning timing signal to turn on switch 62A.
  • switch 62A When switch 62A is turned on, the deviation signal is input, through switch 62A, to feedforward parameter correction arithmetic unit 44 in order to determine a parameter for feedforward control.
  • tuning control is performed on the basis of this parameter.
  • feedforward parameter correction arithmetic unit 44 corrects a feedforward reference parameter using an integral value of the deviation signals, and a predetermined coefficient, and outputs the obtained parameter to multiplier 40.
  • the feedforward control parameter is tuned (automatically tuned) so that the deviation signal from subtractor 43 becomes zero.
  • switches 62B1 and 62B2 are kept off, for the purpose of suppressing a variation in manipulated variable, caused during tuning of the feedforward parameter.
  • the auto-tuning control means described above fetches a number of operating state signals (C, E, en, etc.) from respective sections of the apparatus, and automatically tunes the parameter under the stable conditions, and, in some plants, it is difficult to obtain an auto-tuning timing. If the stable conditions are moderated, tuning accuracy of the parameter is largely degraded.
  • Prior art document US-A-4,563,735 discloses a method and a system of process control comprising in combination a feed-back control in which a deviation of a controlled variable with reference to a target value is applied to a velocity type controller and a manipulated variable is determined in accordance with the output of the controller and a feed-forward control in which a disturbance is detected and a disturbance compensation is determined and added in determining the manipulated variable to counteract the effect of the disturbance.
  • a static compensation component and a dynamic compensation component of the disturbance compensation are separately determined in accordance with the detected disturbance, and the static compensation component is converted to a velocity type signal and added to the output of the controller to obtain a first sum.
  • the first sum is converted to a position type signal, and added to the dynamic compensation component to obtain a second sum, in accordance with which the manipulated variable is determined.
  • the present invention provides a process controller as specified in claim 1.
  • the process controller of the present invention comprises especially: change fetch means for fetching a change ( ⁇ Dn) in a feedforward controlled variable, arising from a variation in load or the like; and auto-tuning control means for performing auto-tuning, to compensate for mismatching of the feedforward control, in accordance with a compensation variable ( ⁇ Fn) obtained by multiplying a ratio ( MVn-1/Dn-1 ) of an adjusted output signal (MVn-1) of a feedback control system, corrected by feedforward control, to the feedforward controlled variable (Dn-1), with the change ( ⁇ Dn) in feedforward controlled variable (Dn), so as to determine an optimal next feedforward controlled variable.
  • a compensation variable ( ⁇ Fn) obtained by multiplying a ratio ( MVn-1/Dn-1 ) of an adjusted output signal (MVn-1) of a feedback control system, corrected by feedforward control, to the feedforward controlled variable (Dn-1), with the change ( ⁇ Dn) in feedforward controlled variable (Dn), so as to determine an optimal next feed
  • Fig. 1 has the same arrangement as that shown in Fig. 2, and thus both embodiments will be described at the same time, in regard to that part of their arrangement they share in common.
  • target variable SV of process control is input to the positive input terminal (+) of comparator part 10, and process controlled variable X (PV) is fed back to the negative input terminal (-) thereof.
  • Difference signal S10 representing the difference between the variables, is output from comparator part 10 and supplied to PID arithmetic unit 12, where it is subjected to a proportional integral/differential operation to produce signal S12, which is input to adder part 14.
  • Adder part 14 receives static characteristic compensation signal ⁇ Fn corresponding to a static change in feedforward controlled variable (to be described later).
  • Output S14 from adder part 14 is input to manipulated variable summing unit (MVS) 16.
  • MVS manipulated variable summing unit
  • manipulation signal MVn from MVS 16 is supplied to process 18 as an object to be controlled, and process controlled variable X is fed back from process 18 to comparator part 10.
  • manipulation signal MVn from MVS 16 is input to adder part 17.
  • Adder part receives dynamic characteristic compensation signal ⁇ Gn corresponding to a dynamic change in feedforward controlled variable (to be described later).
  • Output S17 from adder part 17 is supplied to process 18 as an object to be controlled, and process controlled variable X is fed back from process 18 to comparator part 10.
  • the feedforward control system includes change arithmetic unit 20A, which serves as a change fetch means.
  • change ⁇ Dn in disturbance signal Dn is divided into static and dynamic characteristic compensation components, thereby compensating for a change of the control system as a result of the disturbance signal.
  • the arrangement for dynamic characteristic compensation is omitted from the apparatus shown in Fig. 1.
  • the static characteristic compensation means must include tuning control means (22A, 24A).
  • the tuning control means includes divider part 24A for dividing output MVn, from MVS 16 in the feedback control system, by disturbance signal Dn.
  • Quotient signal S24A obtained by divider part 24A, is input to multiplier part 22A.
  • Multiplier part 22A multiplies output S24A from divider part 24A by change ⁇ Dn in the disturbance signal to obtain static characteristic compensation signal ⁇ Fn for performing optimal feedforward control.
  • Multiplier part 22A outputs signal ⁇ Fn to adder part 14.
  • the dynamic characteristic compensation means for obtaining a dynamic characteristic compensation component shown in Fig. 2 has incomplete differentiator part 26A, and multiplier part 28A for multiplying output S26A from differentiator part 26A with output S24A from divider part 24A.
  • the output from multiplier part 28A is input as dynamic characteristic compensation signal ⁇ Gn to adder part 17, and is added to manipulation signal MVn, which is the output from MVS 16.
  • a feedforward parameter is corrected such that a combination output (manipulation signal MVn) of feedback and feedforward control systems becomes equal to feedforward controlled variable En, thereby tuning mis-matching of feedforward control.
  • MVn a combination output of feedforward controlled variable
  • feedforward controlled variable En is: If equation (4) is converted to a speed signal as a static characteristic compensation component and is calculated for change ⁇ En in feedforward controlled variable between the previous and present timings, ⁇ En is expressed as follows: Equation (5) can be rewritten as:
  • the feedforward control system includes change arithmetic unit 20A and divider part 24A for deriving change ⁇ Dn in feedforward controlled variable and a ratio ( MVn-1/Dn-1 ).
  • static characteristic compensation signal ⁇ Fn is supplied to adder part 14 using a product of change ⁇ Dn and the ratio ( MVn-1/Dn-1 ), thereby performing feedforward control. If ⁇ Dn is directly input to adder part 14 as ⁇ Fn, mis-matching of feedforward control occurs as described above.
  • the apparatus of the present invention can determine an optimal feedforward controlled variable at the present point and thereafter without using a tuning timing signal fetch means and a feedforward parameter arithmetic unit means unlike in the conventional apparatus such as U.S. Patent 4,714,988 or the like.
  • a mis-matching component of feedforward control can be canceled by optimal feedforward controlled variable ⁇ Fn obtained by combining an adjusted output signal (manipulation signal MVn) from the feedback control system which is corrected by feedforward control and signal Dn proportional to a value of a feedforward controlled factor such as a disturbance.
  • MVn adjusted output signal
  • Dn feedforward controlled factor
  • difficulty in timing i.e., to obtain a tuning timing signal after stable conditions of operating state signals (C, E, en, etc.) of the respective sections of the apparatus are satisfied like in the apparatus shown in Fig. 5 of the above U.S. Patent, can be eliminated, and a problem of a degraded tuning accuracy can be solved.
  • the apparatus of the present invention can always perform auto-tuning of feedforward control regardless of a tuning timing.
  • the auto-tuning function can be effected without adversely affecting other control functions.
  • the arrangement can be much simplified as compared with the above U.S. Patent, and calculation factors necessary for control can be greatly reduced.
  • the capacity of a memory used for the calculations can be reduced, and the apparatus can be made compact.
  • the present invention is effective for distributed type control in a loop controller.
  • Fig. 3 shows a process controller according to still another embodiment of the present invention.
  • a feedforward system includes a feedforward adaptive mechanism (13, 30A - 34A) in addition to a static characteristic compensation circuit (14, 20A - 24A) and a dynamic characteristic compensation circuit (17, 26A - 28A).
  • This embodiment employs a so-called adaptive feedforward feedback control system suitable for a case wherein process 18 is a mixed process including a temperature, a concentration, and the like as parameters. Since the adaptive feedforward feedback control system is a known technique as described in U.S. Patent No. 4,698,745, how to apply the adaptive control method to this embodiment will be mainly described below. (Note that U.S. Patent No. 4,698,745 is incorporated in the present application.)
  • disturbance Dn* is converted to disturbance Dn through coefficient multiplier 30A.
  • Disturbance Dn corresponds to disturbance Dn shown in Fig. 2.
  • Gain tuning coefficient kn obtained by filtering output S24A from divider part 24A by low-pass filter 25A is input to multiplier parts 22A, 28A, and 32A.
  • the adaptive operation of this embodiment can be altered by changing a time constant of filter 25A. For example, if a slow adaptive operation is to be performed, an integral time constant of filter 25A can be increased.
  • Arithmetic unit 34A performs an arithmetic operation given by 1 + C(dn - x0)/x0 . Arithmetic parameters (C, dn, x0) of arithmetic unit 34A are optionally tuned, and arithmetic unit 34A outputs its multiplication result S34A to multiplier part 13. Multiplier part 13 multiplies output S12 from PID arithmetic unit 12 with multiplication result S34A, and outputs multiplication result S13 to adder part 14.
  • parameter C In the case of a mixed process (temperature, concentration, and the like), parameter C is selected to be 1.0. In the case of a nonmixed process (pressure, flow rate, level, and the like), parameter C is selected to be 0.
  • feedforward control according to the content of process 18 can be appropriately performed.
  • Fig. 4 shows still another embodiment of the present invention.
  • change rate arithmetic unit 20B including change fetch means (20A in Fig. 1) is arranged to divide a difference ( Dn - Dn-1 ) between previous and present disturbance signals Dn and Dn-1 by disturbance signal Dn-1 to obtain a quotient signal (Dn - Dn-1)/Dn-1 .
  • Obtained signal S20B is input to multiplier part 22B.
  • Multiplier part 22B multiplies multiplication signal S22B with adjusted output signal MVn which is corrected by feedforward control so as to obtain static characteristic compensation signal ⁇ Fn for feedforward control.
  • Signal ⁇ Fn is input to adder part 14 and is added to the output from adjusting unit 12.
  • Fig. 5 shows an apparatus according to still another embodiment of the present invention.
  • change ⁇ Dn in disturbance between previous and present timings is calculated by change rate arithmetic unit 20C, and multiplier 22C multiplies change ⁇ Dn with output MVn-1 at the previous timing from MVS 16 to obtain output S22C expressed by MVn-1 ⁇ Dn .
  • output S22C is divided by disturbance Dn-1 at the previous timing, thus obtaining static characteristic compensation signal ⁇ Fn.
  • a process controller which can continuously perform feedforward auto-tuning regardless of a tuning timing, and can reliably perform auto-tuning of parameters by a simple arrangement without adversely influencing other functions, can be provided.

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Claims (7)

  1. Unité de commande de processus comprenant :
    a) un circuit à contre réaction comprenant :
       un premier dispositif (12) pour sortir un premier signal (S12) en réponse à une différence (S10) entre une variable cible de commande (SV) et un résultat de processus (PV),
       un second dispositif (S12) pour sortir un second signal (MVn ou MVn-1), qui est obtenu en convertissant le premier signal (S12) sur la base d'une fonction de transfert prédéterminée, et
       un troisième dispositif fourni en tant que processus (18), commandé sur la base du second signal (MVn ou MVn-1), pour sortir le résultat du processus (PV); et
    b) un circuit à réaction positive comprenant :
       un quatrième dispositif (20A, 22A, 24A), sensible à un signal externe fourni comme une perturbation (Dn) et couplée audit second dispositif (16), pour détecter un signal de compensation caractéristique statique (ΔFn), et
       un cinquième dispositif (14), sensible audit signal de compensation statique et audit premier signal (S12), et pour fournir un signal composite (S14) audit second dispositif (16),
       caractérisé en ce que
       ledit signal de compensation de caractéristique statique représente un produit (MVn. ΔDn/Dn-1
    Figure imgb0040
     ou MVn-1. ΔDn/Dn-1
    Figure imgb0041
     ) du second signal (MVn ou MVn-1) et un quotient ( ΔDn/Dn-1
    Figure imgb0042
     ) obtenu en divisant une différence (ΔDn) entre les signaux externes présents et précédents (Dn, Dn-1) par le signal externe précédent (Dn-1).
  2. Unité de commande selon la revendication 1, caractérisé en ce que ledit circuit à réaction positive comprend en outre :
       un sixième dispositif (24A, 26A, 28A), sensible au second signal (MVn), une valeur différentielle temporelle (S26A) du signal externe (Dn) et du processus (18) et pour détecter un signal de compensation de caractéristique dynamique (ΔGn), et
       un septième dispositif (17), sensible au second signal (MVn), et au signal de compensation de la caractéristique dynamique (ΔGn) et pour fournir un signal composite (S17) au processus (18).
  3. Unité de commande selon la revendication 1, caractérisé en ce que ledit circuit à réaction directe comprend en outre :
       un huitième dispositif (32A, 34A), sensible à un autre signal externe (Dn*) correspondant au signal externe (Dn) et couplé audit quatrième dispositif (20A, 22A, 24A), pour générer un signal de réglage (S34A) correspondant à un produit ( Dn = Kn x Dn*
    Figure imgb0043
     ) de l'autre signal externe (Dn*) et un signal (Kn) obtenu en divisant le second signal (MVn ou MVn-1) par le signal externe (Dn), et
       un neuvième dispositif (13), couplé audit huitième dispositif (32A, 34A), et ledit premier dispositif (12), et ledit cinquième dispositif (14), pour fournir un signal composite du premier signal (S12) et le signal de réglage (S34A) audit cinquième dispositif (14).
  4. Unité de commande selon l'une quelconque des revendications 1 à 3, caractérisé en ce que ledit quatrième dispositif (20A, 22A, 24A) comprend :
       un dispositif de différence (20A), sensible au signal externe (Dn), pour sortir le signal de différence (ΔDn) entre les signaux externes présents et précédents (Dn, Dn-1),
       un dispositif de division (24A) pour sortir un signal quotient (S24A) obtenu en divisant le second signal (MVn-1) obtenu lorsque le signal externe précédent (Dn-1) est obtenu par le signal externe précédent (Dn-1), et
       un dispositif de multiplication (22A) pour générer le signal de compensation de caractéristique statique (ΔFn) à partir d'un produit ( MVn Δ.Dn/Dn-1
    Figure imgb0044
     ) du signal de différence (ΔDn) et le signal quotient (S24A) (figure 1).
  5. Unité de commande selon la revendication 4, caractérisé en ce que ledit quatrième dispositif (20A, 24A) comprend en outre :
       un dispositif de filtrage (25A), disposé entre ledit dispositif de division (24A) et un dispositif de multiplication (22A), pour fournir un signal de quotient filtré (Kn), obtenu par un filtrage passe-bas du signal quotient (24A) audit dispositif de multiplication (22A) (figure 3).
  6. Unité de commande selon l'une quelconque des revendications 1 à 3, caractérisé en ce que ledit quatrième dispositif (20B, 22B) comprend :
       un dispositif de division (20B), sensible à un signal externe (Dn) pour sortir un signal de quotient de différence (S20B) obtenu en divisant la différence (ΔDn) entre le signal externe précédent et présent (Dn, Dn-1) par le signal externe précédent (Dn-1), et
       un dispositif (22B) pour générer le signal de compensation de caractéristique statique (ΔFn) à partir d'un produit ( MVn. Dn/Dn-1
    Figure imgb0045
     ) du signal de quotient de différence (S20B) et le second signal (MVn) (figure 4).
  7. Unité de commande selon l'une quelconque des revendications 1 à 3, caractérisé en ce que ledit quatrième dispositif (20C, 22C, 24C) comprend :
       un dispositif de différence (20C), sensible au signal externe (Dn), pour sortir le signal de différence (ΔDn) entre les signaux externes présents et précédents (Dn, Dn-1),
       un dispositif de multiplication (22C) pour générer un signal de produit (22C) à partir d'un produit (MVn.Δn) du signal de différence (Δn) et du second signal (MVn), et
       un dispositif de division (24C) pour diviser le signal de produit (S22C) par le signal externe précédent (Dn-1) pour sortir le signal de compensation de caractéristique statique (ΔFn)(figure 5).
EP88110222A 1987-06-26 1988-06-27 Commande de processus utilisant une combinaison de commande à réaction positive et à contre-réaction Expired - Lifetime EP0296638B1 (fr)

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JP62157910A JPS643705A (en) 1987-06-26 1987-06-26 Process controller

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EP0296638A3 EP0296638A3 (en) 1989-11-29
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Also Published As

Publication number Publication date
EP0296638A3 (en) 1989-11-29
DE3889014D1 (de) 1994-05-19
US4951191A (en) 1990-08-21
CN1031139A (zh) 1989-02-15
EP0296638A2 (fr) 1988-12-28
DE3889014T2 (de) 1994-07-21
KR910000871B1 (ko) 1991-02-11
JPS643705A (en) 1989-01-09
KR890000942A (ko) 1989-03-17
CN1016469B (zh) 1992-04-29

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